Prime p₀= 2308539364005951257 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: arkiss
db: batch=81, k=12, 2 22 2 4 2 22

SPT(16)	2308538164428080471	0 8 18 60 90 108 116 138 230 252 260 278 308 350 360 368	-1199577870786
TPT(14)	2308538428373220731	0 2 6 8 18 20 30 32 78 80 120 122 216 218	-935632730526
SPT(16)	2308538626879370029	0 42 48 70 112 132 148 160 210 222 238 258 300 322 328 370	-737126581228
SPT(16)	2308538912453268269	0 98 102 152 180 194 218 222 350 354 378 392 420 470 474 572	-451552682988
STPT(10)	2308538960511107321	0 2 6 8 48 50 90 92 96 98	-403494843936
SPT(16)	2308538995279542901	0 12 66 100 106 108 126 148 240 262 280 282 288 322 376 388	-368726408356
STPT(10)	2308539501909094211	0 2 6 8 18 20 30 32 36 38	137903142954
STPT(10)	2308539766240687919	0 2 18 20 60 62 102 104 120 122	402234736662
SPT(16)	2308539860532125111	0 66 72 110 138 156 198 206 282 290 332 350 378 416 422 488	496526173854
SPT(16)	2308539936784535479	0 22 42 48 82 88 100 130 240 270 282 288 322 328 348 370	572778584222
STPT(10)	2308539958836076127	0 2 30 32 42 44 54 56 84 86	594830124870